Cheap Apartments For Rent Tarpon Springs . Last updated may 4 at 5:54 pm. Use our customizable guide to refine your options for apartments with cheap by price to find anything between low income and luxury that tarpon springs, florida has to offer. Riverside Apartments, 1589 Starlight Cove, Tarpon Springs, FL RENTCafé from www.rentcafe.com The average voucher holder contributes $400 towards rent in tarpon springs. It is located in tarpon springs. On average, section 8 housing choice vouchers pay tarpon springs landlords $700 per month towards rent.